Solve 5x-2x(5*6)

$$5x-2x(5 \times 6)$$

Evaluate

$$-55x$$

Solution Steps

Multiply 2 and 5 to get 10.

$$5x-10x\times 6$$

Multiply 10 and 6 to get 60.

$$5x-60x$$

Combine 5x and -60x to get -55x.

$$-55x$$

Differentiate w.r.t. x

$$-55$$

Steps Using Definition of a Derivative

Multiply 2 and 5 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-10x\times 6)$$

Multiply 10 and 6 to get 60.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-60x)$$

Combine 5x and -60x to get -55x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-55x)$$

The derivative of ax^{n} is nax^{n-1}.

$$-55x^{1-1}$$

Subtract 1 from 1.

$$-55x^{0}$$

For any term t except 0, t^{0}=1.

$$-55$$